Home / 2,045.20-2,822.92-1,206

Finding the Fourth Proportional to 2,045.20, 2,822.92 and 1,206

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Solution

The fourth proportional to 2,045.20, 2,822.92 and 1,206 is: 1,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.20 : 2,822.92 = 1,206 : x
  2. Step 2: Convert to fraction form
    2,045.20/2,822.92 = 1,206/x
  3. Step 3: Cross multiply
    2,045.20x = 2,822.92 × 1,206
  4. Step 4: Simplify right side
    2,045.20x = 3,404,441.52
  5. Step 5: Solve for x
    x = 3,404,441.52/2,045.20
  6. Step 6: Final answer
    x = 1,664.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.